Average Error: 0.0 → 0.0
Time: 17.2s
Precision: 64
\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0 - im} + e^{im}\right)\]
↓
\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{-im} + e^{im}\right)\]
\left(0.5 \cdot \sin re\right) \cdot \left(e^{0 - im} + e^{im}\right)
↓
\left(0.5 \cdot \sin re\right) \cdot \left(e^{-im} + e^{im}\right)
double f(double re, double im) {
        double r347884 = 0.5;
        double r347885 = re;
        double r347886 = sin(r347885);
        double r347887 = r347884 * r347886;
        double r347888 = 0.0;
        double r347889 = im;
        double r347890 = r347888 - r347889;
        double r347891 = exp(r347890);
        double r347892 = exp(r347889);
        double r347893 = r347891 + r347892;
        double r347894 = r347887 * r347893;
        return r347894;
}
↓
double f(double re, double im) {
        double r347895 = 0.5;
        double r347896 = re;
        double r347897 = sin(r347896);
        double r347898 = r347895 * r347897;
        double r347899 = im;
        double r347900 = -r347899;
        double r347901 = exp(r347900);
        double r347902 = exp(r347899);
        double r347903 = r347901 + r347902;
        double r347904 = r347898 * r347903;
        return r347904;
}

Error

Bits error versus re

Bits error versus im

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0 - im} + e^{im}\right)\]

  2. Final simplification0.0

    \[\leadsto \left(0.5 \cdot \sin re\right) \cdot \left(e^{-im} + e^{im}\right)\]

Reproduce

herbie shell --seed 2019153 
(FPCore (re im)
  :name "math.sin on complex, real part"
  (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))))